Least Common Multiple of 701/84, 508/8269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 701/84, 508/8269 quickly i.e. 356108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 701/84, 508/8269 is 356108.

LCM(701/84, 508/8269) = 356108

LCM of 701/84, 508/8269

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 701/84,508/8269

Given numbers are 701/84,508/8269

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 701,508

Least Common Multiple of Numerators i.e. LCM of 701,508 is 356108.

GCF of Denominators means GCF of 84,8269 as per the given fractions.

GCF of 84,8269 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 701,508

LCM of Fractions 701/84,508/8269 is 356108

Given numbers has no common factors except 1. So, there LCM is their product i.e 356108

Least Common Multiple of 701,508 with GCF Formula

Least Common Multiple of 701,508 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 701,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(701,508) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(701,508) x common factors =1 x 1 = 1

LCM(701,508) = ( 701 × 508 ) / 1

LCM(701,508) = 356108 / 1

LCM(701,508) = 356108


Lets's calculate GCF of 84,8269

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 356108/1

Therefore the LCM of Fractions 701/84,508/8269 is 356108

Greatest Common Factor of 84,8269 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,8269 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 8269

List of positive integer factors of 8269 that divides 8269 without a remainder.

1,8269

Greatest Common Factor

We found the factors 84,8269 . The biggest common factor number is the GCF number.
So the greatest common factor 84,8269 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 701/84, 508/8269

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 701/84, 508/8269?

Answer: LCM of Numerators as per given numbers 701/84, 508/8269 is

LCM of Numerators i.e. for 701,508 is 356108

GCF of denominators i.e. for 84,8269 is 1.

Thus, LCM of Fractions is 356108.Finally, LCM of Fractions for 701/84, 508/8269 is 356108.